6x²+x-12
the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)
two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term
6x²+9x-8x-12
now we look for whats common between the first two numbers and divide them out
6x²+9x = 3x(2x+3)
now we do the same with the last two numbers
-8x-12 = -4(2x+3)
notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside
once we do that you should get an answer of
(3x-4)(2x+3)
hope this helped!
Answer:
Step-by-step explanation:
To do this, we must use the unit circle. At the angle 
the coordinate pair is (
, 
) and the hypotenuse is 1
Now that we know these we can start using the trig functions
sin = y
cos = x
tan = 
And the other functions would be the reciprocal of these
csc = 
sec = 
cot = 
This would mean that
sinx =
cosx =
tanx =
or 
if you're supposed to rationalize your denominators
cscx = 2
secx = 
or 
cot = 
Answer:
not sure what you mean here but..... 2 represents your x value which will go on the x intercept. And 24 represents your y value. When you have both of these values, you can plot it on a coordinate graph.
Answer:
B] f(n) = 6(3)n − 1; f(5) = 486
Step-by-step explanation:
First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.
So if the relation is exponential, if we divide the y coordinates you should get the same result every time.
18 / 6 = 3
54 / 18 = 3
162 / 54 = 3
So the y value increases 3 times. That means that the next value should be 162*3 = 486.
